Levinson's theorem and reflectionless one-dimensional potentials

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dc.creatorZambrano, D. E.
dc.date2005-10-04
dc.date2006-07-05
dc.date.accessioned2026-07-07T06:48:40Z
dc.date.available2026-07-07T06:48:40Z
dc.descriptionWe studied two possible approaches to one-dimensional Levinson's theorem for Schödinger equation. The first one, we restrict the 3-dimensional theorem. The other one, the theorem proposed by Dong, Ma and Klauss \cite{Dong}. We find failures in each approach for a one-dimensional reflectionless potential. In order to see this, we explicitly evaluate the phase shift using Schrödinger equation using solution procedure proposed by Jaffe \cite{Jaffe}.
dc.description7 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0510026
dc.identifierhttp://arxiv.org/abs/quant-ph/0510026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104092
dc.subjectQuantum Physics
dc.titleLevinson's theorem and reflectionless one-dimensional potentials
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